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        <h2 id="1-1-二进制"><a href="#1-1-二进制" class="headerlink" title="1.1. 二进制"></a>1.1. 二进制</h2><p>在计算机系统中，数值一律用<strong>补码</strong>来表示和存储。原因在于，使用补码，可以将符号位和数值域统一处理；同时，加法和减法也可以统一处理（为了计算方便）。此外，补码与原码相互转换，其运算过程是相同的，不需要额外的硬件电路。（百度百科）</p>
<h3 id="1-1-1-原码、反码、补码"><a href="#1-1-1-原码、反码、补码" class="headerlink" title="1.1.1. 原码、反码、补码"></a>1.1.1. 原码、反码、补码</h3><p>举例</p>
<table>
<thead>
<tr>
<th></th>
<th>原码</th>
<th>反码</th>
<th>补码</th>
</tr>
</thead>
<tbody><tr>
<td>正数5</td>
<td>0000 0101</td>
<td>0000 0101</td>
<td>0000 0101</td>
</tr>
<tr>
<td>负数5</td>
<td>1000 0101</td>
<td>1111 1010</td>
<td>1111 1011</td>
</tr>
</tbody></table>
<p>8位2进制数表示-128~127的范围，第一位表示符号位，1表示负数、0表示正数</p>
<p>正数三码都相同</p>
<p>负数，用绝对值的补码表示，负数=模-|负数|、-1=100-|-1|=100-001=11</p>
<ul>
<li>原码=最高位为1</li>
<li>反码=正数取反，第一位符号位不变</li>
<li>补码=反码+1，即取反+1，也可以用原码-1，再取反</li>
<li>模 = 原码+补码</li>
</ul>
<p>想象成时钟，2点-4点，可以顺时针旋转2小时，也可以逆时针旋转10小时，即2=12-|-10|，12为模</p>
<p>想象成360度的圆，模代表一圈的度数：</p>
<ul>
<li>起点为0度，范围是0~359。-1度=359度，-180度=180度，模=360度=1度+359度。</li>
<li>起点为-180度，范围是-180~179。那么：-181度=179度，模=360度=181度+179度。</li>
</ul>
<p>位数越多、刻度越多：</p>
<ul>
<li>如2位：能表示-2~1的数。1=01、-1=11、-2=2=10，模=100=01+11=10+10=进一位。进一位表示：2=010、-2=110，第一位表示符号位。</li>
<li>如3位：能表示-4~3的数。1=001、-1=111、-4=4=100，模为=001+111=100+100=1000=进一位。进一位表示：4=0100、-4=1100，第一位表示符号位.模为1000</li>
<li>如8位：能表示-128~127的数。1=00000001、-1=11111111、-128=128=10000000</li>
<li>可以总结出。n为位数，-2^(n-1)=2^(n-1)，进一位：即模=</li>
</ul>
<h3 id="1-1-2-进制转换"><a href="#1-1-2-进制转换" class="headerlink" title="1.1.2. 进制转换"></a>1.1.2. 进制转换</h3><p>二进制转十进制：</p>
<p>例：二进制<code>00001000</code>转换为十进制</p>
<p><code>(2^0)*0+(2^1)*0+(2^2)*0+(2^3)*1 = 8</code></p>
<p>十进制转二进制：循环除以2，直到商为0或者1，记录每一步的余数，将最后的商（如果为1）和每一步的余数倒序组成二进制</p>
<p>例：十进制5转换为二进制</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br></pre></td><td class="code"><pre><span class="line">5&#x2F;2&#x3D;2···1</span><br><span class="line">2&#x2F;2&#x3D;1···0</span><br><span class="line">(5)10&#x3D;(101)2，最后商为1</span><br><span class="line"></span><br><span class="line">7&#x2F;2&#x3D;3···1</span><br><span class="line">3&#x2F;2&#x3D;1···1</span><br><span class="line">1&#x2F;2&#x3D;0···1</span><br><span class="line">(7)10&#x3D;(111)2，最后商为0</span><br></pre></td></tr></table></figure>

<h3 id="1-1-4-位运算符"><a href="#1-1-4-位运算符" class="headerlink" title="1.1.4. 位运算符"></a>1.1.4. 位运算符</h3><ul>
<li>&amp;：位与and，将两个数转换为二进制，每一位进行比较，如果都为1则结果为1，否则为0</li>
<li>|：位或or，将两个数转换为二进制，每一位进行比较，只要有一个为1则结果为1，否则为0</li>
<li>~：位非not，单目运算符，将每位取反，使用补码进行计算<ul>
<li>如~37，8位机器上，补码为：00100101</li>
<li>取反：11011010=-38。</li>
<li>第一位是符号位，为1表示负数，负数的原码需要计算，对负数补码进行还原。（补码取反+1，或者补码-1取反）</li>
<li>补码减1得到反码：11011001</li>
<li>反码取反得正数（负数的反码为正数取反）：00100110，即38</li>
<li>所以<del>37=</del>(00100101)补码=11011010补码=-38</li>
</ul>
</li>
<li>^：异或xor，将两个数转换为二进制，每一位进行比较，如果相同则为0，不相同则为1</li>
</ul>
<h3 id="1-1-3-左移（-lt-lt-）、右移（-gt-gt-）"><a href="#1-1-3-左移（-lt-lt-）、右移（-gt-gt-）" class="headerlink" title="1.1.3. 左移（&lt;&lt;）、右移（&gt;&gt;）"></a>1.1.3. 左移（&lt;&lt;）、右移（&gt;&gt;）</h3><p>左移n位相当于乘以2的n次方：把二进制的高位左移n位，溢出舍弃，右边空出来的补0</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br></pre></td><td class="code"><pre><span class="line">例：4&lt;&lt;2 &#x3D; 4*2^2 &#x3D; 16</span><br><span class="line">&#x3D; 0000 0100 &lt;&lt; 2 &#x3D; 0001 0000 &#x3D; 16</span><br></pre></td></tr></table></figure>

<p>右移n位相当于处以2的n次方：把二进制的低位右移n位，溢出舍弃，左边空出来的补0</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br></pre></td><td class="code"><pre><span class="line">例：4&gt;&gt;2 &#x3D; 4&#x2F;2^2 &#x3D; 1</span><br><span class="line">&#x3D; 0000 0100 &lt;&lt; 2 &#x3D; 0000 0001 &#x3D; 16</span><br></pre></td></tr></table></figure>

<h2 id="1-2-进制表示"><a href="#1-2-进制表示" class="headerlink" title="1.2. 进制表示"></a>1.2. 进制表示</h2><table>
<thead>
<tr>
<th>进制</th>
<th>缩写</th>
<th>C语言</th>
<th>Java</th>
<th>书写</th>
</tr>
</thead>
<tbody><tr>
<td>二进制</td>
<td>B</td>
<td>不能表示</td>
<td>不能表示</td>
<td>括号加下标：如(11)2，缩写后缀：11B，下同</td>
</tr>
<tr>
<td>八进制</td>
<td>O</td>
<td>0开头</td>
<td>0开头</td>
<td></td>
</tr>
<tr>
<td>十进制</td>
<td>D</td>
<td>0开头</td>
<td>0开头</td>
<td></td>
</tr>
<tr>
<td>十六进制</td>
<td>H</td>
<td>0x或0X开头</td>
<td>0x开头</td>
<td></td>
</tr>
</tbody></table>
<h1 id="2-操作系统"><a href="#2-操作系统" class="headerlink" title="2. 操作系统"></a>2. 操作系统</h1><h2 id="2-1-死锁"><a href="#2-1-死锁" class="headerlink" title="2.1. 死锁"></a>2.1. 死锁</h2><p>多个并发进程因争夺系统资源而产生相互等待的现象。</p>
<h3 id="2-1-1-产生的条件"><a href="#2-1-1-产生的条件" class="headerlink" title="2.1.1. 产生的条件"></a>2.1.1. 产生的条件</h3><ul>
<li>互斥：一个资源每次只能被一个进程使用。</li>
<li>请求与保持：一个进程因请求资源而阻塞时，对已获得的资源保持不放。不主动释放</li>
<li>不可抢占：进程已获得的资源，在末使用完之前，不能强行剥夺。</li>
<li>循环等待：若干进程之间形成一种头尾相接的循环等待资源关系。</li>
</ul>
<h3 id="2-1-2-预防死锁"><a href="#2-1-2-预防死锁" class="headerlink" title="2.1.2. 预防死锁"></a>2.1.2. 预防死锁</h3><ul>
<li>打破互斥条件：允许进程同时访问某个资源</li>
<li>打破请求与保持：资源利用率低，降低并发性，不能动态分配资源<ul>
<li>一次性申请全部资源</li>
<li>进程获得运行初期需要的资源，运行过程中逐步释放掉已经用完的资源，再请求新的资源</li>
</ul>
</li>
<li>打破不可抢占：进程请求新的资源时，如果无法被满足，则释放所占有的资源，以后重新申请。</li>
<li>打破循环等待：实行资源有序分配策略。采用这种策略，即把资源事先分类编号，按号分配，使进程在申请，占用资源时不会形成环路。所有进程对资源的请求必须严格按资源序号递增的顺序提出。进程占用了小号资源，才能申请大号资源。</li>
</ul>
<h3 id="2-1-3-避免死锁"><a href="#2-1-3-避免死锁" class="headerlink" title="2.1.3. 避免死锁"></a>2.1.3. 避免死锁</h3><ul>
<li>如果一个进程的请求会导致死锁，则不启动该进程</li>
<li>如果一个进程的增加资源请求会导致死锁 ，则拒绝该申请。</li>
</ul>
<p>银行家算法</p>
<h1 id="3-其他"><a href="#3-其他" class="headerlink" title="3. 其他"></a>3. 其他</h1><p>位（bit）是计算机存储的最小单位，字节是计算机处理数据的最小单位，1字节=8位</p>

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